Question

Which of the following shows the correct order of the given numbers?

Answer 1

`1(3)/(10)<1.6<1(5)/(8)`

Step-by-step explanation:

Given the below numbers;

`1(5)/(8),1(3)/(10),1.6`

To be able to order the above numbers from the least to the greatest, let's first convert the mixed numbers to improper fractions as seen below;

`\begin{gathered} 1(5)/(8)=((1\cdot8)+5)/(8)=(13)/(8) \\ 1(3)/(10)=((10\cdot1)+3)/(10)=(13)/(10) \end{gathered}`

Let's now convert the improper fractions to decimal numbers;

`\begin{gathered} (13)/(8)=1.625 \\ (13)/(10)=1.3 \\ \text{And we were given the third number as 1.6} \end{gathered}`

From the above, we can go and order the numbers from the least to greatest as;

`1(3)/(10)<1.6<1(5)/(8)`